Minimal circuit for a flux-controlled Majorana qubit in a quantum spin-Hall insulator

2014/07/10 by B. van Heck, B van Heck, T. Hyart +3
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Cooper pair #Flux qubit #Josephson effect #MAJORANA #Phase qubit #Quantum and electron transport phenomena #Qubit #Topological Materials and Phenomena #Topological insulator #Transmon #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1088/0031-8949/2015/t164/014007

published as Phys. Scr. T164, 014007 (2015) · Contribution for the proceedings of the Nobel Symposium on topological insulators. 8 pages, 6 figures

arxiv created 2014/07/10 · openalex publication_date 2015/08/25 · arxiv updated 2015/09/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct a minimal circuit, based on the top-transmon design, to rotate a qubit formed out of four Majorana zero-modes at the edge of a two-dimensional topological insulator. Unlike braiding operations, generic rotations have no topological protection, but they do allow for a full characterization of the coherence times of the Majorana qubit. The rotation is controlled by variation of the flux through a pair of split Josephson junctions in a Cooper pair box, without any need to adjust gate voltages. The Rabi oscillations of the Majorana qubit can be monitored via oscillations in the resonance frequency of the microwave cavity that encloses the Cooper pair box.

Citations

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